{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b7c93cc7-c9a3-468d-a4c9-b2e6655660a6",
   "metadata": {},
   "source": [
    "Chapter 14\n",
    "# 柏拉图图，平面化\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "88770f5b-4525-412d-b8a7-420afc9f994d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "59837ee5-3866-4e56-bc41-72ffccc934a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize_G(G,fig_name):\n",
    "    plt.figure(figsize = (6,6))\n",
    "    nx.draw_networkx(G, \n",
    "                     pos = nx.planar_layout(G),\n",
    "                     with_labels = False,\n",
    "                     node_size = 28) \n",
    "    plt.savefig(fig_name + '.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a38fe7a2-daf2-49b4-86a2-70398a37b987",
   "metadata": {},
   "source": [
    "## 正四面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "58a35897-860b-4c58-965b-0597a2764dff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tetrahedral_graph = nx.tetrahedral_graph() \n",
    "nx.is_planar(tetrahedral_graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "33582768-5788-4580-9b8d-3b594cd8618a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(tetrahedral_graph,\n",
    "           'tetrahedral_graph')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84af3552-b625-405a-b460-bf3314cd8402",
   "metadata": {},
   "source": [
    "## 正六面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "44dbb466-dad4-44f4-9240-ffa773df24b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cubical_graph = nx.cubical_graph() \n",
    "nx.is_planar(cubical_graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b9df314d-a62c-4913-b136-2e99fa3c189c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BXC5HxYoV0alTpywfI/X5Y2N83Ck9v/76KypWrMhryURZwEImyiQ/Pz/4+PjAy8srW9NxUFAQoqKijP76cVqpU/LRo0dx8eJF0XGIjAoLmSiT5HI5KlWqhF9++SVbx1EqlbC2tka9evW0lMwwdOzYkVMyURawkIky4cKFCzh27Fi2p2Mg5Yauhg0bmsT147QsLS3h5eUFX19f+Pn5iY5DZDRYyESZIJfLUaVKlWxPxyqVCmfOnDGp09VpdezYEZUrV+aUTJQJLGSiDDp//jyOHz8OLy8vWFhk77dOUFAQ3rx5Y1I3dKVlYWEBLy8vHDt2DBcuXBAdh8gosJCJMsjLywvVqlXDTz/9lO1jKRQK5MqVC3Xr1tVCMsP0888/o2rVqvDy8hIdhcgosJCJMuDs2bM4efKkVqZjIOWGrkaNGsHa2loL6QxT6pR84sQJnDt3TnQcIoPHQibKgNTp+Mcff8z2sUz9+nFaHTp0QLVq1TglE2UAC5noC06fPg2FQgG5XK6V6TgwMBDR0dFmUcipU/KpU6dw5swZ0XGIDBoLmegL5HI5qlevrpXpGEi5fmxjY2PS14/T+vHHH+Hs7Mw7rom+gIVM9BlKpRJKpRJyuRwymUxrx2zUqBFy5sypleMZOgsLC8jlcigUCpw+fVp0HCKDxUImSockSfDy8kLNmjXRvn17rRwzOTkZZ8+eNdnHndLzww8/oEaNGryWTPQZLGSidCgUCpw5c0ar0/G1a9cQExNjFteP05LJZJDL5Zrr8UT0MRYy0SekTse1atXC999/r7XjKpVK5M6dG7Vr19baMY1Fu3btULNmTXh5eUGSJNFxiAwOC5noE06ePIlz585pdToGUqbuxo0bm83147RSp+SzZ8/i1KlTouMQGRyZlIG/qsbExMDW1hbR0dHInz+/PnIRCSNJEpo0aYLExERcunRJa4WcnJwMOzs7eHh4YPz48Vo5prGRJAl169ZFrly5cObMGa3+ZYfIUGW0QzkhE/3HiRMncP78ea1Px1euXMG7d+/M7oautFKn5HPnzuHkyZOi4xAZFE7IRGlIkoRGjRpBrVbDz89Pq4U8a9YsTJkyBVFRUciRI4fWjmtsJElC/fr1YWVlhXPnznFKJpPHCZkoC44dOwY/Pz+tT8dAyg1dTZo0MesyBv43JV+4cAHHjx8XHYfIYHBCJvp/kiShQYMGAKD16TgpKQl2dnaYNGkS3N3dtXZcY5X631omk+HChQucksmkcUImyiQfHx9cunQJ3t7eWi+IK1eu4P3792b3/HF6UqfkixcvwtfXV3QcIoPACZkI/7uuaWlpifPnz2u9kGfMmIHp06cjKioKVlZWWj22sZIkCQ0bNoQkSVo/I0FkSDghE2XC0aNH4e/vr5PpGPjf9WOW8f/IZDJ4e3vj0qVL8PHxER2HSDhOyGT2Up+Ntba2xtmzZ7VeyElJSShQoADkcjnGjBmj1WMbO0mS0LhxYyQlJWn1mW8iQ8IJmSiDDh8+jICAAJ1Nx5cvX0ZsbCyvH39C6pR8+fJlHDlyRHQcIqE4IZNZkyQJderUgY2Njc52jpo+fTpmzpyJyMhInrL+hNSd0RISEuDv788pmUwOJ2SiDDh48CCuXLmis+kYSNm/umnTpizjdKROyQEBATh06JDoOETCcEImsyVJEmrVqoV8+fJBqVTqpJATExNRoEABTJ48GaNHj9b68U2FJElo1qwZ3r9/j4CAAE7JZFI4IRN9wYEDB3Dt2jWdTsf+/v6Ii4sz6/2rMyJ1Sr569SoOHjwoOg6RECxkMkuSJEEul8PFxUWnN1splUrY2tqievXqOlvDVLi6uqJZs2aQy+X8vmQySyxkMkv79u1DYGAg5HK5TtdRKpVo2rQpLC0tdbqOqZDL5bh27Rr2798vOgqR3rGQyeyo1WrI5XLNRKYrCQkJOH/+PB93yoTUMxZyuRxqtVp0HCK9YiGT2dm7dy+CgoLg7e2t03X8/f0RHx/PQs4kb29vXL9+Hfv27RMdhUivWMhkVtRqNby9vdG8eXM0adJEp2spFAoUKFAAzs7OOl3H1DRt2hRubm7w9vbmlExmhYVMZmXPnj24ceOGzqdjgNePs8Pb2xtBQUHYu3ev6ChEesNCJrOROh23bNkSjRo10ula8fHxuHDhAh93yqLGjRujRYsWvJZMZoWFTGZj165duHnzps7vrAaAS5cuISEhgdePs0Eul+PmzZvYvXu36ChEesFCJrOgUqng7e2NVq1aoWHDhjpfT6lUws7ODtWqVdP5WqaqUaNGaNmyJa8lk9lgIZNZ2LlzJ27duqWXa8dAyg1dzZo1g4UFf4tlh7e3N4KDg7Fz507RUYh0jn9akMlTqVSYPHky2rRpg/r16+t8vfj4eFy8eJGnq7WgQYMGaN26NSZPngyVSiU6DpFOsZDJ5P3zzz+4ffu23qZjPz8/JCQk8IYuLfH29satW7c4JZPJYyGTSUudjr/99lvUrVtXL2sqlUoULFgQVapU0ct6pq5evXpo27YtvL29OSWTSWMhk0nbvn077ty5Ay8vL72tqVQqef1Yy+RyOe7cuYMdO3aIjkKkM/wTg0xWcnIyJk+ejO+++05v03FcXBwuXrzI09VaVrduXXz77be8lkwmjYVMJmv79u24d++eXp47TuXn54fExETe0KUDcrkcd+/exfbt20VHIdIJFjKZpNTpuF27dqhdu7be1lUoFChcuDAqV66stzXNRZ06dfD9999j8uTJSE5OFh2HSOtYyGSStm7divv37+t1OgZ4/VjX5HI57t27h23btomOQqR1/FODTE5ycjKmTJmCH374ATVr1tTburGxsbh06RKvH+tQrVq10L59e07JZJJYyGRyNm/ejJCQEL3eWQ0AFy5cQFJSEq8f65iXlxdCQkKwZcsW0VGItIqFTCYlKSkJU6ZMwY8//ogaNWrodW2lUokiRYqgUqVKel3X3NSsWRM//PADpkyZwimZTAoLmUzK5s2bERoaqvdrx0DKDV0uLi6QyWR6X9vcyOVyPHjwAJs3bxYdhUhrWMhkMlKn459++gnOzs56Xfv9+/fw9/fn6Wo9qV69Ojp06IApU6YgKSlJdBwirbASHYBIWzZu3IiwsDDs27dPL+up1RIOBkVgq/8j3I+IRKGOUyBzqAO1WoKFBadkXZPL5XB2dsamTZvQs2dP0XGIsk0mSZL0pTfFxMTA1tYW0dHRyJ8/vz5yEWVKYmIiypcvj9q1a+vlSwjUagnDd1zDgaBnsJABagmQ1CrILCzR3tkeCztVZynrwS+//IKrV6/i7t27yJEjh+g4RJ+U0Q7lKWsyCRs2bEB4eDg8PT31st7BoAgcCHoGIKWMAUBmYQkAOHA9AgeDIvSSw9x5enoiLCwMGzZsEB2FKNtYyGT0EhMTMXXqVHTs2BFVq1bVy5pb/R8hvQHYQpbyOuletWrV8Msvv2Dq1KlITEwUHYcoW1jIZPT+/vtvPH78WK/PHT+JitVMxv+lloAnUXF6y2LuvLy88OjRI07JZPRYyGTUEhMTMW3aNHTq1Emv+0eXsMv92Qm5hJ2N3rKYuypVqqBjx46cksnosZDJqK1btw6PHz/W27XjVF3qlvrshNylbim95jF3Xl5eePz4MdavXy86ClGWsZDJaCUkJGDatGno3Lmz3nfHalfNHu2d7QGk3F39//8DANC+WnG0q2av1zzmrlKlSvj1118xbdo0JCQkiI5DlCUsZDJaa9euxdOnTzFp0iS9r21hIcPCTtXRs4IMCY9voWgeK1QsnBMv989GI8sHfORJgEmTJuHJkydYt26d6ChEWcLnkMkoxcfHo0yZMmjWrJnQLxlwd3fHpk2b8PTpU8hkMrRp0wZPnjxBUFAQv4JRgC5duuDs2bMICQmBtbW16DhEAPgcMpm4tWvX4tmzZ3q/dvxfCoUCrq6umv2r5XI5goOD9bI5CX3M09MTERERWLt2regoRJnGQiajEx8fj+nTp6NLly4oX768sBwxMTG4cuXKB/tX169fH23atIG3tzdUKpWwbOaqQoUK+O233zB9+nTEx8eLjkOUKSxkMjp//fUXnj9/LuTacVpnz56FWq2Gq6vrBz/u7e2N27dvc0oWxNPTE8+ePcOaNWtERyHKFBYyGZW4uDjMmDEDv//+O8qVKyc0i1KpxNdff43SpUt/8ON169bFt99+yylZkHLlyqFr166YMWMGp2QyKixkMiqrV6/GixcvMHHiRNFRoFQq0/3+Y7lcjjt37mDHjh0CktHEiRPx/PlzrF69WnQUogxjIZPRiIuLw8yZM/H777+jbNmyQrNER0fj6tWrH52uTlWnTh18//33mDx5MqdkAcqVK4fff/8dM2bMQFwctzEl48BCJqOxatUqvHz5Uvi1Y+B/14/T3tD1X15eXrh79y62bdumv2CkMWnSJLx8+ZJTMhkNFjIZhdjYWMycORN//PHHR9dsRVAoFChZsiScnJzSfU/t2rXRrl07TJ48GcnJyXpMRwBQpkwZdOvWDTNnzuSUTEaBhUxGYeXKlXj9+rVBXDsGPn/9OC25XI779+9zShZk4sSJePnyJVauXCk6CtEXsZDJ4L1//x6zZs1C9+7dPzuR6ktUVBSuXbv22dPVqWrWrIkffviBU7IgpUuXRvfu3TFr1izExsaKjkP0WSxkMngrVqxAZGQkJkyYIDoKgJTrx5IkpXtD13/J5XKEhIQI3eLTnE2YMAGvX7/GihUrREch+iwWMhm09+/fY/bs2ejRowccHR1FxwGQcrq6VKlScHBwyND7q1evjg4dOmDKlCmckgVwcnLSTMnv378XHYcoXSxkMmjLly9HVFSUwUzHwMf7V2eEl5cXHjx4gE2bNukwGaVn4sSJiIqK4pRMBo2FTAbr3bt3mD17Nnr27JnhaVTXIiMjcf369QxdP07L2dkZP/30E6ZMmYKkpCTdhKN0OTg44M8//8Ts2bM5JZPBYiGTwVq2bBmio6MNajo+c+YMJEnKdCEDKVNyWFgYp2RBJkyYgDdv3mDZsmWioxB9EguZDNLbt28xZ84c9OrVC6VKlRIdR0OpVMLBwSFLE3u1atXwyy+/YOrUqZySBfjmm2/Qs2dPzJkzB+/evRMdh+gjLGQySEuXLkVMTAzGjx8vOsoHUp8/ziovLy+Eh4djw4YN2gtFGebh4YHo6GgsXbpUdBSij7CQyeDExMRg7ty56N27t0FNx69fv8b169cz/LjTp1SpUgUdO3bE1KlTkZiYqMV0lBGlSpVCr169MGfOHLx9+1Z0HKIPsJDJ4CxduhTv3r2Dh4eH6CgfOHPmDABka0IGUr6v99GjR/j777+zH4oyzcPDA+/eveOUTAaHhUwGJXU67tOnD0qUKCE6zgcUCgWcnJyyPbVXrlwZnTp1wrRp0zglC1CyZEn07t0bc+fORUxMjOg4RBosZDIoixcvRmxsrMFdOwayf/04LU9PTzx+/Bjr16/XyvEoc8aPH493795hyZIloqMQabCQyWBER0dj3rx56Nu3L77++mvRcT7w6tUr3LhxQ2uFXKlSJXTu3BnTpk1DQkKCVo5JGVeiRAn07dsX8+bNQ3R0tOg4RABYyGRAFi1ahLi4OIwbN050lI+cPn0aQPavH6fl6emJp0+fYt26dVo7JmXcuHHjEBsbi8WLF4uOQgSAhUwG4s2bN5g/fz769esHe3t70XE+olQqUbp0aZQsWVJrx6xQoQJ+++03TJ8+nVOyAF9//TX69u2L+fPn482bN6LjELGQyTAsWrQICQkJBjkdA//bv1rbJk2ahIiICKxZs0brx6YvGzduHOLj4zklk0FgIZNwb968wYIFC9C/f38UL15cdJyPvHjxAsHBwVo9XZ2qfPny6NKlC6ZPn474+HitH58+z97eHv369eOUTAaBhUzCLViwAImJiXB3dxcd5ZN0cf04rUmTJuH58+eckgVxd3dHQkICFi5cKDoKmTkWMgkVFRWFhQsXYsCAAShWrJjoOJ+kVCpRtmxZnd35Xa5cOfz++++YMWMGp2QBihcvjgEDBmDBggWIiooSHYfMGAuZhJo/fz6SkpIwduxY0VHSpc3nj9MzadIk/Pvvv1i9erVO16FPGzt2LJKSkrBgwQLRUciMsZBJmMjISCxatAgDBw7EV199JTrOJ/3777+4deuWTm7oSqtMmTLo1q0bZsyYgbi4OJ2uRR8rVqwYBgwYgIULFyIyMlJ0HDJTLGQSZv78+VCpVAY9Hev6+nFaEydOxMuXL7Fq1Sqdr0UfGzt2LJKTkzklkzAsZBLi9evXWLRoEQYNGoSiRYuKjpMuhUKB8uXL6+Xu79KlS+OPP/7AzJkzERsbq/P16ENfffUVBg0ahEWLFnFKJiFYyCTEvHnzoFarMWbMGNFRPksf14/TmjhxIl6/fs0pWZAxY8ZApVJh3rx5oqOQGWIhk969evUKS5YsweDBg1GkSBHRcdL1/Plz3LlzR6+F7OTkhO7du2PWrFmckgUoWrQoBg0ahMWLF+PVq1ei45CZYSGT3s2dOxeSJBnFdAzo5/pxWqlT8ooVK/S6LqUYM2YMJEnilEx6x0ImvXr58iWWLl2KIUOGoHDhwqLjfJZSqUSFChX0/ny0g4MD/vzzT8yaNQvv37/X69oEFClSBIMHD8aSJUs4JZNesZBJr+bOnQuZTIbRo0eLjvJFutq/OiM8PDwQFRWF5cuXC1nf3I0ePRoymQxz584VHYXMCAuZ9ObFixdYunQphg4dikKFComO81kRERG4d++e3k9Xp3JwcEDPnj0xe/ZsvHv3TkgGc1a4cGEMGTIES5cuxcuXL0XHITPBQia9mTNnDiwtLTFy5EjRUb4o9fnjZs2aCcswYcIEREdHc0oWZNSoUZDJZJgzZ47oKGQmWMikF//++y+WLVtmFNMxkHK6ulKlSkJ3ECtVqhR69eqFOXPmcEoWoFChQhg6dCiWLVuGFy9eiI5DZoCFTHoxe/Zs5MiRwyimY0D/zx+nx8PDAzExMVi6dKnoKGZp1KhRsLS0xOzZs0VHITPAQiade/78OVasWIFhw4ahYMGCouN80dOnT3H//n1hN3SlVbJkSfTu3Rtz5szB27dvRccxOwULFsSwYcOwfPly/Pvvv6LjkIljIZPOzZ49Gzlz5sSIESNER8mQ1OePmzZtKjbI/xs/fjzevXuHJUuWiI5ilkaOHIkcOXJwSiadYyGTTj179gwrVqzA8OHDYWdnJzpOhigUClSuXNlg9tguUaIE+vTpg7lz5yImJkZ0HLNjZ2eH4cOHY8WKFXj+/LnoOGTCWMikU7NmzYK1tTWGDx8uOkqGKZVKgzhdndb48eMRGxvLKVmQESNGIGfOnJg1a5boKGTCWMikMxEREVi5ciVGjBiBAgUKiI6TIY8fP8aDBw8M4oautL7++mv07dsX8+bNQ3R0tOg4ZqdAgQIYPnw4Vq5ciWfPnomOQyaKhUw6M3PmTNjY2BjddAyIff44PePGjUNcXBwWL14sOopZGj58OKytrTFz5kzRUchEsZBJJ54+fYrVq1dj5MiRsLW1FR0nw5RKJapWrWqQ+2zb29ujX79+mD9/Pt68eSM6jtkpUKAARo4ciVWrViEiIkJ0HDJBLGTSiZkzZyJ37twYNmyY6CiZInL/6oxwd3dHfHw8Fi1aJDqKWRo2bBhsbGw4JZNOsJBJ6548eYLVq1dj1KhRyJ8/v+g4Gfbw4UOEhYUZ3PXjtIoXL47+/ftjwYIFnJIFsLW1xahRo7B69Wo8ffpUdBwyMSxk0roZM2Ygb968GDJkiOgomXL69GnIZDKDef44Pe7u7khMTMTChQtFRzFLQ4cORe7cuTFjxgzRUcjEsJBJqx4/fow1a9YY3XQMpJyurlatmsHvtV2sWDEMGDAACxYsQFRUlOg4Zid//vwYNWoU/vrrLzx+/Fh0HDIhLGTSqunTpyNfvnxGNx0DhrN/dUaMHTsWSUlJWLBggegoZmnIkCHImzcvp2TSKhYyac2jR4+wdu1ajB49Gvny5RMdJ1PCw8MRHh5u0Dd0pfXVV19h0KBBWLhwISIjI0XHMTv58+fH6NGjsWbNGk7JpDUsZNKa6dOnw9bWFoMHDxYdJdOUSiVkMhmaNGkiOkqGjRkzBiqVCvPnzxcdxSwNHjwY+fPbYvCcv/Hraj80mnUSv672w/7Ap1CrJdHxyAixkEkrHj58iHXr1mHMmDHImzev6DiZplQq4ezsbBTfRpWqaNGiGDRoEBYtWoTXr1+LjmN28uTJi+oDF+J6npq4HB6Jp2/icTk8EsN2BGL4P4EsZco0FjJpxbRp02Bra4tBgwaJjpJpkiQZ/PPH6RkzZgwkSeKULMDBoAiEJBUAAKR2b+o/D1yPwMEgbh5CmcNCpmwLCwvD+vXrMXbsWOTJk0d0nEwLDw/Ho0ePjOaGrrSKFCmCwYMHY/HixXj16pXoOGZlq/8jWMg+/ZqFLOV1osxgIVO2TZs2DQULFsTAgQNFR8kShUJhFM8fp2f06NEAgHnz5glOYl6eRMUivbPSagl4EhWn30Bk9FjIlC2hoaHYsGGD0U7HQMr14xo1ahjNN1L9V+HChTFkyBAsWbIEL1++FB3HbBTNYwWo1Z98zUIGlLCz0XMiMnYsZMqWadOmoVChQhgwYIDoKFlizNeP0xo1ahRkMhnmzp0rOopZeP78OW7uWwlYfPqPULUEdKlbSs+pyNixkCnLHjx4gA0bNsDd3R25c+cWHSdLQkND8eTJE6O8fpxWoUKFMHToUCxduhQvXrwQHcekPXv2DK6uroi7cw6uTinP26deS5bUKgBAe2d7tKtmLyoiGSkWMmXZ1KlTUaRIEfTv3190lCxTKpWwsLAwqueP0zNq1ChYWlpyStahiIgIuLi44N27d1AqFVjbqwkW/VoddRwKoritNdT/3kel6EtY2Kk6LNK744soHSxkypKQkBBs2rQJ7u7usLEx3mtlCoUCNWvWNKrvbE5PwYIFMWzYMCxbtoxTsg5ERESkTMZxcVAqlShTpgwsLGT4ofrX2NG3AfzGtcBIZwscWz0doaEPRMclI8RCpiyZMmUKihYtin79+omOkmWSJBnV/tUZMXLkSFhZWWH27Nmio5iUp0+fwsXFRVPGpUuX/uT7+vfvjyJFimDq1Kl6TkimgIVMmXb//n1s3rwZ48aNM+rpOCQkBE+fPjX6G7rSsrOzw/Dhw7F8+XI8f/5cdByTkHqPQUJCApRKJZycnNJ9r42NDcaNG4fNmzcjJCREjynJFLCQKdOmTJmCYsWKoW/fvqKjZEvq9ePGjRuLjqJVw4cPR86cOTkla8Hjx4/h4uKCpKSkL5Zxqr59+6Jo0aKYMmWKHhKSKWEhU6bcvXsXW7Zswfjx45ErVy7RcbJFqVSiVq1aRve9zV+SOiWvWLECz549Ex3HaKXu3qZSqaBUKuHo6Jihz9nY2GD8+PHYvHkz7t27p+OUZEpYyJQpU6ZMQfHixdG7d2/RUbLFVJ4/Ts/w4cNhbW3NKTmLHj58CBcXF6jVaiiVSjg4OGTq83369EGxYsU4JVOmsJApw+7cuYNt27aZxHR8//59PHv2zKRu6EqrQIECGDlyJFauXMkpOZNSyxgATp8+jW+++SbTx8iVKxfGjx+PrVu34u7du1pOSKaKhUwZNnnyZNjb2xv9dAykPO5kaWlpcteP0xo2bBhy5cqFmTNnio5iNMLDw+Hi4gILCwsolUqUKpX13bZ69+6N4sWLY/LkyVpMSKaMhUwZcvv2bWzfvh0eHh6wtrYWHSfblEolateujXz58omOojO2trYYNWoUVq1ahadPn4qOY/DCwsLg4uICS0vLbJcxkDIle3h4YNu2bbhz546WUpIpYyFThkyePBklSpRAz549RUfJttTrx6Z6ujqtoUOHInfu3JySvyA0NBQuLi7IkSMHlEolSpYsqZXj9urVCyVKlOCUTBnCQqYvCg4Oxo4dOzBhwgSTmI7v3r2Lf//912Rv6Eorf/78GDVqFFavXo0nT56IjmOQUsvY2toaSqUSJUqU0Nqxra2t4eHhge3bt+PWrVtaOy6ZJhYyfdHkyZNRsmRJ/Pnnn6KjaIVSqYSVlRUaNWokOopeDBkyBHnz5uWU/AkPHjxAs2bNYGNjA4VCga+//lrra/Ts2ZNTMmUIC5k+6+bNm9i5cycmTJiAnDlzio6jFQqFAnXq1EHevHlFR9GL/PnzY/To0fjrr7/w+PFj0XEMRkhICJo1a4bcuXPrrIwBIGfOnJgwYQL++ecfBAcH62QNMg0sZPosb29vlCpVCj169BAdRStMcf/qjBg8eDDy5cuHGTNmiI5iEO7fvw8XFxfkzZsXSqUS9va6/arEP//8E6VKlYK3t7dO1yHjxkKmdN24cQO7du3CxIkTTWY6vn37Nl68eGEW14/TypcvH8aMGYM1a9bg0aNHouMIde/ePbi4uCBfvnxQKpUoXry4ztdMnZJ37tyJmzdv6nw9Mk4sZEqXt7c3HB0d0b17d9FRtCb1+nHDhg1FR9G7QYMGwdbWFtOnTxcdRZi7d+/CxcUFtra2UCqVKFasmN7W7tGjBxwcHDglU7pYyPRJ169fx+7duzFx4kTkyJFDdBytUSqVqFu3LvLkySM6it7lzZsXY8aMwbp16/Dw4UPRcfTuzp07cHV1hZ2dHRQKBb766iu9rp8jRw5MnDgRu3btQlBQkF7XJuPAQqZP8vb2hpOTE7p16yY6itakXj82t9PVaQ0aNAgFChQwuyn59u3bcHV1RcGCBYWUcao//vgDjo6OnJLpk1jI9JHAwEDs3bvX5KbjW7du4eXLl2Z3Q1daefLkwdixY7Fu3TqEh4eLjqMXt27dgqurKwoXLgyFQoGiRYsKy5I6Je/ZsweBgYHCcpBhYiHTR+RyOUqXLm1S0zGQ8rhTjhw5zPL6cVoDBgxAwYIFMW3aNNFRdC61jIsWLYpTp06hSJEioiOhW7ducHJy4pRMH2Eh0weuXbuG/fv3Y9KkSbCyshIdR6uUSiXq1auH3Llzi44iVJ48eeDu7o6///4bYWFhouPozM2bN+Hi4oJixYoZTBkDKVPypEmTsG/fPly7dk10HDIgLGT6gFwuR9myZdG1a1fRUbRKrVbj9OnTZn26Oq3+/fujUKFCmDp1qugoOnHz5k24ubnB3t4ep06dQuHChUVH+sDvv/+OMmXKcEqmD7CQSePKlSs4cOCASU7HwcHBePXqlVnf0JVW7ty54e7ujg0bNuDBgwei42jVjRs34Orqiq+//honT55EoUKFREf6iJWVFSZNmoT9+/fj6tWrouOQgWAhk0bqdPzbb7+JjqJ1SqUSOXPmRIMGDURHMRj9+/dHkSJFTOpa8vXr1+Hq6oqSJUsabBmn6tKlC8qWLQu5XC46ChkIFjIBAC5fvoxDhw7B09PT5KZjIOWGrvr168PGxkZ0FINhY2ODcePGYePGjQgJCREdJ9uuX7+O5s2b45tvvsGJEydQsGBB0ZE+K3VKPnjwIAICAkTHIQPAQiYAKc8dly9f3iSnY14/Tl/fvn1RtGhRo7+WHBgYCDc3Nzg4OBhFGaf67bffUK5cOV5LJgAsZALg7++Pw4cPw9PTE5aWlqLjaN2NGzcQGRnJQv4EGxsbjB8/Hps2bcL9+/dFx8mSq1evws3NDU5OTjhx4gTs7OxER8owKysreHp64tChQ7h8+bLoOCSYTJIk6UtviomJga2tLaKjo5E/f3595CI9+vbbbxEeHo4bN26YZCEvWrQI7u7uePPmDXLlyiU6jsGJj49H6dKl0bx5c2zcuFF0nEy5evUqWrRogTJlyuDYsWMoUKCA6EiZplKpUKVKFTg5OeHw4cOi45AOZLRDOSGbuYsXL+Lo0aMmOx0DKTd01a9fn2Wcjly5cmH8+PHYsmUL7t69KzpOhl25cgXNmzdHuXLlcPz4caMsYwCwtLSEp6cnjhw5gkuXLomOQwJxQjZzbdq0waNHj0x2Olar1ShcuDCGDRsGLy8v0XEMVnx8PMqUKQNXV1ds2rRJdJwvunz5Mlq1aoUKFSrAx8cHtra2oiNli0qlQtWqVfHNN9/g6NGjouOQlnFCpi/y8/ODr68vvLy8TLKMASAoKAhRUVG8fvwFuXLlgoeHB7Zu3WrwU7K/vz9atmyJihUrwtfX1+jLGPjflOzj4wM/Pz/RcUgQTshmrHXr1nj69CmCgoJgYWGafzdbsGABPDw8EBUVxVPWX5CQkICyZcuiSZMm2LJli+g4n3Tp0iW0atUKVapUwdGjR03qzyOVSoVq1aqhZMmS8PHxER2HtIgTMn3WhQsXcOzYMXh5eZlsGQMp148bNGjAMs4Aa2treHh4YNu2bbh9+7boOB+5ePEiWrVqhapVq8LHx8ekyhhImZK9vLzg6+vLKdlMcUI2Uy1btsS///6LwMBAky1klUqFwoULY8SIEfD09BQdxyikTsmNGjXCtm3bRMfR8PPzQ+vWreHs7IwjR44gX758oiPphFqthrOzM4oXL45jx46JjkNawgmZ0nXu3DmcOHHC5Kfj69ev482bN9y/OhOsra0xYcIE7NixA8HBwaLjAEg5m9O6dWtUr14dR48eNdkyBgALCwt4eXnh+PHjOH/+vOg4pGeckM1Q8+bN8erVK1y7ds2kC3n+/PmYMGEC3rx5A2tra9FxjEZiYiLKlSuH+vXrY/v27UKznD9/Hm3atEHNmjVx+PBh5M2bV2gefVCr1ahevTqKFi2KEydOiI5DWsAJmT7pzJkzOHXqlMlPx0DK/tWNGjViGWdSzpw5MWHCBPzzzz9Cp+Rz586hdevWqF27No4cOWIWZQz8b0o+efIkzp49KzoO6REnZDPj5uaGyMhIXL161aQLWaVSoWDBghgzZgwmTpwoOo7RSUpKQrly5VCnTh38888/el//7NmzaNu2LerWrYuDBw8iT548es8gklqtRo0aNVC4cGGcPHlSdBzKJk7I9JHTp09DoVBALpebdBkDKV82EBMTw+ePsyhHjhyYOHEidu7ciRs3buh17dOnT6Nt27aoV68eDh06ZHZlDKRMyXK5HKdOncKZM2dExyE94YRsRlxcXBATE4MrV65AJpOJjqNTc+fOhaenJ968eYOcOXOKjmOUkpKSUL58edSsWRO7du3Sy5pKpRLfffcdGjRogAMHDiB37tx6WdcQSZKEmjVrokCBAlAoFKLjUDZwQqYPKBQKnD59GnK53OTLGEj5g71Ro0Ys42xInZJ3796N69ev63w9hUKB7777Do0aNcLBgwfNuowBQCaTQS6XQ6lUQqlUio5DesAJ2QxIkoRmzZrh/fv3CAgIMPlCTk5ORsGCBTFu3Dh4eHiIjmPUkpKSUKFCBVSvXh27d+/W2TqnTp3C999/jyZNmmDfvn2wsbHR2VrGRJIk1KpVC/ny5YNSqTT537umihMyaZw6dQpnz541m+n42rVrePv2La8fa0GOHDkwadIk7NmzB4GBgTpZ4+TJk/juu+/QtGlTlvF/pE7JZ86c4WlrM8AJ2cRJkoSmTZsiPj4e/v7+ZlHIs2fPhre3N6KionjKWguSk5NRsWJFVKlSBXv37tXqsU+cOIF27drBxcUFe/fu5RannyBJEurUqYPcuXPj9OnTZvF72NRwQiYAKdPHuXPnzGY6BlKuHzdu3JhlrCVWVlaYNGkS9u3bh2vXrmntuMeOHUO7du3g5ubGMv6M1Cn57NmzOHXqlOg4pEOckE2YJElo3LgxkpOTcfHiRbMo5OTkZNjZ2cHDwwPjx48XHcdkJCcno1KlSqhYsSL279+f7eP5+vrihx9+QIsWLbB7925u3vIFkiShXr16yJkzJ86ePWsWv5dNCSdkwvHjx3HhwgWzmo6vXLmCd+/ecf9qLUudkg8cOIArV65k61g+Pj744Ycf0LJlS5ZxBqVOyefPn+d2miaME7KJkiQJDRs2hCRJ8PPzM5tCnjVrFqZMmYKoqCjkyJFDdByTkpycjMqVK6N8+fI4cOBAlo5x5MgRdOjQAa1bt8bOnTtZxpkgSRLq168PS0tLnD9/3mx+T5sCTshmztfXFxcvXjSr6RhIeZa1SZMmLGMdsLKygqenJw4ePIiAgIBMf/7w4cPo0KED2rZti127drGMMyl1Svbz8+NXM5ooTsgmSJIkNGjQADKZDBcuXDCbQk5KSoKdnR0mTZoEd3d30XFMkkqlQpUqVVC6dGkcOnQow587dOgQfv75Z3z77bfYsWMHb7jLInP9vW3sOCGbMR8fH1y6dAne3t5m9Rv2ypUreP/+PZ8/1iFLS0t4enri8OHD8Pf3z9BnDh48iJ9++gnfffcdyzibZDIZvL29cfHiRfj6+oqOQ1rGCdnEpN6NmSNHDpw7d86sCnnGjBmYPn06oqKiYGVlJTqOyVKpVKhatSocHBxw5MiRz753//796NixI9q3b49t27bxUoIWSJKERo0aQaVSmc3TE8aOE7KZOnLkCC5fvmx20zGQ8vxxkyZNWMY6ljolHz16FBcvXkz3ffv27UPHjh3xww8/sIy1KHVK9vf3x9GjR0XHIS3ihGxCJElC3bp1YW1tbXbPKiYmJsLOzg5yuRxjxowRHcfkqVQqVKtWDaVKlfpkKezduxedOnVChw4dsGXLFpaxlqXuMZCYmGg2O/AZM07IZujQoUMICAgwy+k4ICAAsbGxvH6sJ5aWlvDy8oKPjw/8/Pw+eG337t3o1KkTfv75Z2zdupVlrAOpU3JAQAAOHz4sOg5pCSdkEyFJEmrXro08efKYzX63arWEg0ER2Or/CMHhzxH1JARLh3fGD9VLwMLC9P/9RVOr1ajmXB35KjdDKbcueBIVC+vk97i8bQG+q1oMmzdt4uUDHUrdpz4uLg6XL182i9/zxiqjHcrfLSbi4MGDuHr1Kk6dOmUWvzHVagnDd1zDgaBnsJABaikncthXwIidQVDce4WFnaqzlHVOhjLdpiAwygrPwyIhAZDUQKF2o1GkajFYWFiKDmjSUqfk5s2b49ChQ2jXrp3oSJRNPGVtAiRJglwuR7Nmzcxmy8iDQRE4EPQMAKBOPccjS/nlfOB6BA4GRQhKZj4OBkUgMCrl7/T/+ylIKeGDN57z50APXF1d0bRpU8jlcmTgZCcZOBayCdi/fz+uXbsGuVwuOorebPV/hPQGYAtZyuukW/w5EC91Sr569WqWtzMlw8FCNnJqtRpyuRwuLi5mdUPTk6jY/03G/6GWgCdRcfoNZIb4c2AYXFxc0KxZM07JJoCFbOT27duH69evw9vbW3QUvSphlxsyfPoPHwsZUMLORs+JzE+OxLeQ1KpPvsafA/3y9vZGYGAg9u3bJzoKZQML2Yip1Wp4e3vDzc0NTZs2FR1HrwpF3YaET58vVUtAl7ql9JzIvGzevBlXdizSXDP+L/4c6Ffq/SPe3t5Qq9Wi41AWsZCN2N69exEUFGR20/GiRYuwYlxvlFT/CwCa65ipE3PTb3KjXTV7UfFM3saNG/HHH3+gYz0ntK9WHMD/fg5S/9ne2Z4/B3rm7e2N69evc0o2YnwO2Uip1Wo4OzujWLFiOH78uOg4erNw4UKMGDECY8aMwYwZM3HoxjNs9X+EJ1Fx+LpALlzetgA1CqmxZ/du0VFN0oYNG/Dnn3+iV69eWLVqFQCZ5lnwJ1FxKGFngy51S6FdNXs+diZAixYt8OLFCwQGBsLCgvOWochwh0oZEB0dLQGQoqOjM/J20oN//vlHAiCdO3dOdBS9mT9/vgRAcnd3l9Rq9Sffs27dOgmAdO3aNf2GMwPr16+XZDKZ1KdPH0mlUomOQ59w9uxZCYC0c+dO0VEojYx2KCdkI6RWq1GtWjXY29ubzReVz5s3D6NHj8a4ceMwffr0dDc/SU5ORoUKFVCtWjXs2bNHzylN17p169C7d2/06dMHK1as4PRlwFq2bInnz5/j+vXr/HkyEJyQTdj27dslANKFCxdER9GL2bNnSwAkDw+PdCfjtP7++29OyVq0Zs0aCYDUv39/TsZG4Pz58xIAaceOHaKj0P/jhGyiUr9lp2TJkvDx8REdR+dmz54Nd3d3TJw4EZMnT87QtqDJycmoWLEiKleuzBtcsumvv/5C3759MWDAACxbtswstmU1Ba1bt8aTJ09w48YNTskGgBOyidq2bZsEQLp48aLoKDo3Y8YMCYA0adKkDE3GaW3YsEECIF25ckVH6UzfqlWrJADSoEGDMv3fn8Ty8/OTAEjbt28XHYWkjHcoC9mIJCcnSxUqVJDatm0rOorOTZ8+XQIgeXl5ZenzSUlJUtmyZaV27dppN5iZWLFihQRAGjJkCMvYSLVp00aqWLGilJycLDqK2WMhm6AtW7ZIAKRLly6JjqJTU6dOlQBIcrk8W8fZtGmTBEAKCAjQUjLzsHz5cgmANHToUJaxEbt48aIEQNq6davoKGaPhWxikpOTpfLly0vffvut6Cg6NXnyZAmA5O3tne1jpf43+/7777WQzDwsXbpUAiANGzaMZWwC2rZtK1WoUIFTsmAsZBOTOu35+/uLjqIz3t7eEgBpypQpWjtm6lkFU/7vpi1LliyRAEgjRoxgGZuIS5cuSQCkzZs3i45i1ljIJiQpKUkqV66cSU96Xl5eEgBp2rRpWj1u6nV3Uz+zkF2LFi2SAEijRo1iGZuY7777TipXrhynZIFYyCZk48aNJnstVK1WS56enhIAafr06TpZY+vWrWZzZ3pWLFiwQAIgjR49mmVsgi5fviwBkDZt2iQ6itliIZuIpKQkqUyZMlL79u1FR9E6tVotTZo0SQIgzZw5U2frJCcnSxUrVpTatGmjszWMVep2pGPHjmUZm7B27dpJZcuWlZKSkkRHMUssZBORuuuUqT1Pq1arpQkTJkgApNmzZ+t8vdTdzfz8/HS+lrGYN2+eBEAaN24cy9jEBQQESACkDRs2iI5illjIJiApKUkqXbq09MMPP4iOolVqtVoaP368BECaM2eOXtZUqVRS5cqVpdatW+tlPUM3Z84cCYA0fvx4lrGZaN++vVSmTBlOyQKwkE3A+vXrTW5PZrVaLY0bN04CIM2bN0+va6d+Q5a57AGenlmzZkkApAkTJrCMzcjVq1clANLff/8tOorZYSEbucTERMnJyUnq0KGD6Chao1arpbFjx0oApPnz5+t9fZVKJVWpUkVq2bKl3tc2FDNnzszydqRk/H788UepdOnSnJL1jIVs5NauXSsBkK5fvy46ilao1Wpp9OjREgBp4cKFwnLs3LnT7L5HOlXqdqSenp4sYzMVGBgoAZDWrVsnOopZYSEbscTERMnR0VH6+eefRUfRCrVaLY0aNUoCIC1evFhoFpVKJVWrVk1q3ry50Bz6pq3tSMn4/fTTT5Kjo6OUmJgoOorZYCEbsb/++stkpmO1Wi2NGDFCAiAtWbJEdBxJkiRp9+7dEgDpzJkzoqPoxZQpU7S2HSkZv+vXr0sApDVr1oiOYjZYyEYqISFB+uabb6RffvlFdJRsU6vV0rBhwyQA0tKlS0XH0VCpVJKzs7Pk5uYmOorOpW5HOnnyZNFRyID8/PPPkoODg5SQkCA6illgIRup1atXSzKZTLpx44boKNmiVquloUOHSgCk5cuXi47zkb1790oApNOnT4uOojOp25FOnTpVdBQyMEFBQRIA6a+//hIdxSywkI1QQkKCVKpUKalTp06io2SLWq2WBg8eLAGQVq5cKTrOJ6nVaql69eqSi4uL6Chap4/tSMn4dezYUfrmm284JesBC9kIrVy5UpLJZFJwcLDoKFmmVqulQYMGSQCkVatWiY7zWfv27ZMASAqFQnQUrUm7HemMGTNExyEDdvPmTUkmkxn871NTwEI2MvHx8VLJkiWlzp07i46SZSqVShowYIDRnApTq9VSzZo1pWbNmomOohVptyOdNWuW6DhkBH799VepVKlSnJJ1jIVsZJYvX27U07FKpZL69+8vyWQyo7p788CBAxIA6dSpU6KjZItarZY8PDz0uh0pGb/g4GBJJpNJK1asEB3FpLGQjUh8fLxUokQJ6bfffhMdJUtUKpXUt29fSSaTSWvXrhUdJ1PUarVUu3ZtqUmTJka7WUba7Ujnzp0rOg4Zmc6dO0slSpSQ4uPjRUcxWSxkI7Js2TLJwsJCun37tugomaZSqaQ+ffpIMplMWr9+veg4WXLo0CEJgHTixAnRUTJN9HakZPxu3bolyWQyg3wawlSwkI1EXFyc9PXXX0tdu3YVHSXTVCqV1KtXL0kmkxn1hvVqtVqqU6eO1KhRI6OaktVqtTRmzBgJgLRgwQLRcciIdenShVOyDrGQjcSSJUskCwsL6e7du6KjZIpKpZJ69uwpyWQyaePGjaLjZNvhw4clANKxY8dER8mQtNuRLlq0SHQcMnJ37tyRLCwsDGoDH1PCQjYCcXFxkr29vdStWzfRUTIlOTlZ6tGjh2RhYSFt2rRJdBytUKvVUr169aSGDRsa/JRsiNuRkvH7/fffJXt7eykuLk50FJPDQjYCixYtMrrpODk5WerevbtkYWEhbdmyRXQcrTp69KgEQPL19RUdJV1qtVoaPny4wW1HSsbv7t27koWFhfAvgDFFGe1QmSRJEr4gJiYGtra2iI6ORv78+b/0dsqAuLg4ODk5oVWrVtiwYYPoOBmiUqnw559/YsuWLdi8eTN+++030ZG0SpIkNGzYEABw4cIFyGQywYk+JEkShg8fjsWLF2PZsmUYOHCg6EhkYv744w+cOHECDx48gI2Njeg4JiPDHarNdqeMW7hwoWRpaSndv39fdJQMSU5Oln7//XfJ0tJS2r59u+g4OuPr6ysBkI4ePSo6ygfUarU0ZMgQCQCfGSWduXfvnmRpacn7ErSME7IBS52O27Rpg/Xr14uO80XJycno3r07duzYga1bt6JTp06iI+mMJElo1KgRVCoVLl68aBBTsiRJGDJkCJYtW4ZVq1ahb9++oiORCevRowd8fX0RGhrKKVlLOCEbsPnz50uWlpZSSEiI6ChflJSUJP3222+SpaWl9M8//4iOoxfHjh2TAEiHDx8WHeWD7UhXr14tOg6ZgZCQEMnS0pKP0mkRJ2QDFRsbCycnJ3z33XdYu3at6DiflZycjG7dumHXrl3Yvn07fv75Z9GR9EKSJDRp0gSJiYm4dOmSsClZrVZj0KBBWLVqFf766y/06tVLSA4yPz179sSRI0cQGhqK3Llzi45j9DLaoRZ6zEQAVqxYgdevX2PChAmio3xWcnIyunbtil27dmHHjh1mU8YAIJPJ4O3tjcuXL+PIkSNCMqjVagwcOBCrVq3CmjVrWMakVxMmTMCrV6+wcuVK0VHMCidkPXr//j0cHR3Rvn17rFmzRnScdCUlJaFr167Yu3cv/vnnH3To0EF0JL2TJAnNmjVDXFwc/P399Tolq9Vq9O/fH2vWrMHatWvx559/6m1tolS9evXCoUOHEBoaijx58oiOY9Q4IRugFStWICoqChMnThQdJV1JSUno0qUL9u3bh127dpllGQP/m5IDAgJw6NAhva2rVqvRr18/rFmzBuvXr2cZkzATJ05EZGQkp2Q94oSsJ6nT8Y8//ojVq1eLjvNJSUlJ6Ny5Mw4ePIhdu3ahffv2oiMJJUkSXFxc8O7dOwQEBOh8Slar1ejTpw/Wr1+Pv//+G3/88YdO1yP6kj59+mD//v0ICwvjlJwNnJANzLJly/DmzRuDvXacmJiIX3/9FQcPHsTu3bvNvoyB/03JV69exYEDB3S6lkqlQq9evfD3339j48aNLGMyCBMmTEBUVBSWL18uOopZ4ISsB+/evYOjoyN+/vlngzz9k1rGR44cwe7du/H999+LjmRQXF1d8ebNG1y9elUnU3JqGW/atAkbN25E165dtb4GUVb169cPe/bsQVhYGPLmzSs6jlHihGxAli5diujoaHh4eIiO8pHExER06tQJR44cwd69e1nGn+Dt7Y3AwEDs379f68dWqVTo2bMnNm3ahE2bNrGMyeB4eHggOjoay5YtEx3F5HFC1rG3b9/CwcEBnTp1wooVK0TH+UBCQgI6duyIY8eOYe/evWjbtq3oSAarefPmeP36Na5evQoLC+38PValUqFHjx7YunUrtmzZgs6dO2vluETa1r9/f+zatQthYWHIly+f6DhGhxOygVi6dCnevXtncNNxQkICfvnlFxw7dgz79u1jGX+BXC7H9evXsW/fPq0cT6VSoXv37ti2bRu2bt3KMiaD5uHhgZiYGE7JOsYJWYdiYmLg6OiIzp07G9Qv5ISEBPz88884ceIE9u/fj9atW4uOZBRatGiBFy9eIDAwMFtTctq9wbdt24aOHTtqMSWRbgwcOBA7duxAeHg4p+RM4oRsAJYsWYJ3795h/PjxoqNoxMfH46effsLJkydx4MABlnEmeHt748aNG9i7d2+Wj5G6HemOHTuwfft2ljEZDQ8PD7x79w5LliwRHcVkcULWkejoaDg6OqJr164G8ws4Pj4eHTp0gFKpxMGDB9GiRQvRkYxOq1at8OzZM1y/fj3TU3JycjJ+//137N6926z2BifTMXjwYGzduhXh4eHsgkzghCzY4sWLERsbi3HjxomOAiCljH/88UecPn0ahw4dYhlnkbe3N27evIndu3dn6nOpO6Dt3r0b//zzD8uYjNK4cePw/v17LF68WHQUk8QJWQfevHkDR0dHdOvWzSB+4cbFxeHHH3/E2bNncejQIbi5uYmOZNTatGmDJ0+eICgoKENTctrtSHfu3Ikff/xR9yGJdGTIkCHYvHkzwsPDYWtrKzqOUeCELNDixYsRHx9vENNxbGws2rdvj3PnzuHIkSMsYy2Qy+UIDg7Gzp07v/jepKQk/Pbbb9i/fz927drFMiajN378eMTFxRnEsGFqOCFr2Zs3b+Dg4IAePXpg4cKFQrOklrGfnx+OHDmCZs2aCc1jStq2bYuHDx/ixo0bsLS0/OR7EhMT0blzZxw6dAi7d+9Gu3bt9JySSDeGDRuGjRs3IiwsDAUKFBAdx+BxQhZk4cKFSEhIgLu7u9AcsbGxaNeuHS5evIijR4+yjLXM29sbt2/fTndKTt2O9PDhw9izZw/LmEzKuHHjEB8fj0WLFomOYlJYyFoUFRWFBQsWYMCAAShevLiwHO/fv8f333+PS5cu4ejRo2jatKmwLKaqbt26+Pbbb+Ht7Q2VSvXBa2m3I92zZw+3IyWTU7x4cfTv3x8LFizAmzdvRMcxGSxkLVqwYAGSkpIwduxYYRlSy/jy5cvw8fFBkyZNhGUxdZ5eXngkK4oW0w+h0ayT+HW1H3YHPMTPv/yCo0ePYu/evfjuu+9ExyTSibFjxyIhIQELFiwQHcVksJC1JDIyEgsXLsSAAQNQrFgxIRnevXuHb7/9FgEBAfDx8UHjxo2F5DAHarWELQ+sUOSHsQh7Z4Gnb+JxOTwSo3bfhL9FRezdtw/ffvut6JhEOlO8eHEMGDAACxcuRFRUlOg4JoGFrCULFixAcnKysOk4tYyvXbsGX19fNGrUSEgOc3EwKAIHgp6l/J//f/RJ/f+3R9pUbIqk4tUEJSPSH3d3dyQlJXFK1hIWshZERkZi0aJFGDRoEL766iu9r//27Vu0bdsWgYGB8PX1RcOGDfWewdxs9X8Ei3S+GtlClvI6kan76quvMHDgQCxcuBCRkZGi4xg9FrIWzJs3DyqVCmPGjNH72qllHBQUhGPHjqFBgwZ6z2COnkTFaibi/1JLwL2nr/H27Vv9hiISYOzYsVCpVJg/f77oKEaPhZxNr169wuLFizF48GAULVpUr2vHxMSgTZs2uHnzJo4fP4769evrdX1zVsIud7oTMtRqPLt/E4UKFYKbmxvmzJmDmzdvIgOP/BMZnaJFi2LQoEFYtGgRXr9+LTqOUWMhZ9O8efMgSRJGjx6t13VTyzg4OBjHjx9H3bp19bq+uetSt1S6EzIsLDC5eyvMnz8fNjY28PLyQtWqVVGqVCn06dMHe/bsQXR0tF7zEunS6NGjoVarMW/ePNFRjBp36sqGly9fwtHREYMHD8bMmTP1tm50dDTatGmDO3fu4Pjx46hdu7be1qYUarWE4f8E4sD1CFjIUk5Tp/6zvbM9FnaqDov/H6Hj4+Nx5swZHD16FD4+Prhz5w6srKzQsGFDtG3bFm3atIGzszNksvRGbiLD5+7ujuXLlyMsLAyFCxcWHcegZLRDWcjZMG7cOCxbtkyvvwDfvHmD1q1b4/79+zh+/Dhq1aqll3XpY2q1hINBEdjq/whPouJQws4GXeqWQrtq9poy/pSwsDD4+PjAx8cHJ0+exPv371G8eHG0adMGbdq0QcuWLWFnZ6fHfxOi7Hv16hUcHBwwZMgQzJgxQ3Qcg8JC1rHU6Xjo0KGYPn26XtZ88+YNWrVqhZCQEJw4cQI1a9bUy7qkOwkJCTh37hx8fHxw9OhRBAcHw9LSEvXr19dMzzVq1Mj0dy8TiTB+/HgsWbIEYWFhKFKkiOg4BoOFrGNjx47FihUrEB4ejkKFCul8vaioKLRq1QqhoaE4ceIEatSoofM1Sf8ePXoEX19fHD16FCdOnMDbt29RtGhRzfTcqlUrvfx6I8qKV69ewdHREQMHDsSsWbNExzEYLGQdevHiBRwdHTF8+HBMmzZN5+tFRUWhZcuWCAsLw8mTJ1G9enWdr0niJSYmws/PD0ePHsXRo0c1379ct25dtGnTBm3btkWtWrXS/bYpIhE8PDywaNEihIWF6f3JE0PFQtah0aNHY/Xq1QgPD0fBggV1ulZkZCRatmyJhw8f4uTJk3B2dtbpemS4IiIiNKe2jx8/jujoaBQuXBitWrVC27Zt0apVK/4BSMK9fv0ajo6O6NevH+bMmSM6jkFgIevI8+fP4eTkhFGjRmHKlCk6XSsyMhItWrTA48ePcfLkSVSrxu0YKUVycrLmqzV9fHxw9epVyGQy1KpVS3PtuV69epyeSYiJEydi/vz5CAsLE7J7oaFhIevIqFGjsGbNGoSHh+v0TtjXr1+jRYsWePLkCU6dOoWqVavqbC0yfs+fP4evry98fHxw7NgxREZGws7OTjM9t27dWtiXnpD5iYyMhKOjI/r06YO5c+eKjiMcC1kHUqfjMWPGwNvbW2frvHr1Ci1atEBERAROnTqFKlWq6GwtMj0qlQr+/v6a09sBAQGQJAk1atTQTM8NGjSAlZWV6Khkwjw9PTF37lyEhoaa/V8GWcg6MGLECKxfvx7h4eEoUKCATtZ49eoVmjdvjufPn+PUqVOoXLmyTtYh8/Hy5UvN9Ozr64tXr17B1tYWLVu21Ny9/fXXX4uOSSYmKioKDg4O6NWrl9nvc81C1rJnz57ByckJ7u7ukMvlOlnj5cuXaN68OV68eIFTp06hUqVKOlmHzJdKpcLVq1c1d25funQJkiShWrVqmju3GzZsiJw5c4qOSibAy8sLs2fPRmhoKIoXLy46jjAsZC0bNmwYNmzYoLPp+MWLF2jevDlevnwJhUKBihUran0Nov96/fo1jh8/rrk57MWLF8iXLx+aN2+uOb1dqlQp0THJSL158wYODg7o0aMHFi5cKDqOMCxkLYqIiICTkxM8PDzg6emp9eO/ePECbm5ueP36NRQKBSpUqKD1NYi+RK1WIzAwUFPOfn5+UKlUqFSpEtq2bYu2bduicePGsLa2Fh2VjIi3tzdmzpxp1lMyC1mLhg4dik2bNiE8PBy2trZaPfa///4LNzc3REVFQaFQoHz58lo9PlFWRUVF4cSJE5qCfvbsGfLkyQM3NzfN9Ozo6Cg6Jhm46OhoODg44I8//sCiRYtExxGChawlT58+RenSpTFx4kRMnDhRq8d+/vw53Nzc8ObNG5YxGTRJkhAUFKQp5/PnzyM5ORnly5fXlHOzZs2QK1cu0VHJAE2ZMgXTpk3DgwcPzPIGQhaylgwePBhbt25FeHi4Vv/dnz17Bjc3N8TExEChUKBcuXJaOzaRrkVHR+PkyZOaR6uePHkCGxsbuLq6am4OK1OmjOiYZCCio6Ph6OiIrl27YsmSJaLj6B0LWQseP36MMmXKwNPTExMmTNDacZ89ewZXV1e8e/cOCoUCZcuW1dqxifRNkiQEBwdryvns2bNISkpCmTJlNOXs4uKC3Llzi45KAk2dOhVTpkzBgwcPUKJECdFx9IqFrAUDBw7Ejh07EBYWprV/74iICLi6uiI2NhYKhYJTBJmct2/fQqFQaB6tevjwIaytrdGsWTPNzWHlypWDTJb+d0aT6YmJiYGjoyM6d+6MZcuWiY6jVyzkbHr8+DFKly4Nb29vjB8/XivHfPr0KVxdXREfHw+FQoHSpUtr5bhEhkqSJNy9e1dz7fn06dNISEiAg4ODppxdXV2RN29e0VFJD6ZPnw5vb2+EhISgZMmSouPoDQs5mwYMGICdO3ciLCwM+fLly/bxUss4ISEBCoUCTk5OWkhJZFzev38PpVKpmZ5DQ0ORM2dONGnSRHNzWKVKlTg9m6i3b9/C0dERnTp1wvLly0XH0RsWcjY8fPgQZcuWxZQpU+Du7p7t4z158gSurq5ITEyEUqnkoyJE/+/+/fua6VmhUCA+Ph6lSpXSbOnZvHlzs/gzx5zMnDkTnp6eCAkJMZtNZ1jI2dCvXz/s2bMHYWFh2T6V9vjxY7i6uiI5ORkKhYJlTJSOuLg4nD59WnNz2L1792BlZYXGjRtrbg6rWrUqp2cj9+7dOzg4OOCXX37BypUrRcfRCxZyFoWHh6Ns2bKYNm0axo4dm61jPXr0CK6urlCr1VAoFHBwcNBOSCIzEBoaqinnU6dOITY2Fvb29ppybtGihc6+5IV0a9asWZg0aRLu37+Pb775RnQcnWMhZ1GfPn2wf/9+hIWFIU+ePFk+zsOHD+Hq6goAUCgUZvGLjkhX4uPjce7cOc2159u3b8PS0hINGjTQ3BxWvXp1Ts9G4t27d3B0dESHDh2wevVq0XF0joWcBWFhYShXrhxmzJiB0aNHZ/k44eHhcHV1hUwmg1KpNJvrJET68vDhQ830fPLkSbx79w7FihVD69at0bZtW7Rs2RIFCxYUHZM+Y86cOfDw8MD9+/dN/uwhCzkLevfujYMHDyI0NDTL03F4eDhcXFxgaWkJpVJpVrf2E4mQmJiI8+fPa24Ou3HjBiwsLFCvXj3N9FyzZk1YWFiIjkppvH//Hk5OTmjfvj3++usv0XF0ioWcSaGhoShXrhxmz56NkSNHZukYYWFhcHV1hZWVFZRKpdntRkNkCJ48eQIfHx/4+Pjg+PHjiImJQZEiRdC6dWu0adMGrVu3RuHChUXHJADz5s3DuHHjcO/ePZO+4ZWFnEk9e/bEkSNHEBoamqUt/kJDQ+Hq6oqcOXNCoVCwjIkMQFJSEvz8/DSntwMDAyGTyVCnTh3NzWF16tSBpaWl6KhmKTY2Fo6Ojvj++++xdu1a0XF0hoWcCSEhIahQoQLmzJmDESNGZPrzDx48gKurK3LlygWFQmGW32ZCZAyePXsGX19fHD16FMeOHcObN29QsGBBtGrVCm3btkXr1q3x1VdfiY5pVubPn4+xY8fi7t27Jrt7IQs5E3r06AFfX1+EhobCxsYmU5998OCBZuN8hUIBe3t7HaUkIm1KTk6Gv7+/5s7tK1euAABq1qypufZcr149WFlZCU5q2mJjY+Hk5IS2bdti/fr1ouPoBAs5g1Kn43nz5mHYsGGZ/qyLiwvy5s2LU6dOsYyJjNiLFy8007Ovry8iIyNRoEABtGzZUrOtZ/HixUXHNEkLFy7E6NGjcefOHZP8wh0WcgZ1794dx48fx4MHDzI1Hd+/fx8uLi7Inz8/Tp06xd+oRCZEpVIhICBAc+e2v78/JEmCs7OzZnpu0KABcuTIITqqSYiLi0Pp0qXRqlUr/P3336LjaB0LOQPu3buHihUrYuHChRgyZEimPufq6gpbW1ucOnUKxYoV02FKIhLt1atXOHbsmObu7ZcvXyJ//vxo0aKFZnrmjZzZs3jxYowYMQJ37twxue+IZyFnQLdu3XDq1Ck8ePAAuXLlytBn7t69C1dXV9jZ2eHUqVO8AYTIzKjValy9elVz5/bFixehVqtRpUoVTTk3btwYOXPmFB3VqMTHx8PJyQktWrTAxo0bRcfRKhbyF9y9exeVKlXCokWLMHjw4Ax95s6dO3B1dUWhQoVw8uRJljERITIyEidOnNCc3n7+/Dny5s0LNzc3zeltbp2bMUuWLMHw4cNx69YtlC9fXnQcrWEhf0HXrl1x+vRphISEZGg6vn37Ntzc3FC4cGGcPHkSRYsW1UNKIjImarUaQUFBmju3L1y4AJVKhQoVKmjKuWnTprC2thYd1SDFx8ejTJkycHFxwebNm0XH0RoW8mfcuXMHlSpVwtKlSzFw4MAvvv/WrVtwc3ND0aJFcfLkSRQpUkQPKYnI2EVHR38wPT99+hS5c+eGq6urpqCdnJxExzQoy5Ytw9ChQxEcHIwKFSqIjqMVLOTP6NKlC86dO4f79+9/8W+qwcHBcHNzQ7FixXDixAmWMRFliSRJuHnzpmZ6PnfuHJKTk1G2bFlNOTdr1izTeyGYmoSEBJQpUwZNmzbFli1bRMfRChZyOm7duoUqVapg+fLl6N+//2ffe/PmTbi5ucHe3h4nTpzg/rdEpDVv377FyZMnNQX9+PFj5MqVCy4uLpqbw8qWLWuWXym5YsUKDBo0CMHBwahYsaLoONnGQk5H586dceHCBYSEhHz2LsgbN26gefPm+Prrr3HixAkUKlRIjymJyJxIkoTbt29r7tw+c+YMEhMTNTtYtWnTBq6urtn6jnZjkpCQgLJly6JRo0bYtm2b6DjZxkL+hODgYFStWhUrVqxAv3790n1fUFAQmjdvjpIlS+L48eMsYyLSq3fv3kGpVGqm57CwMOTMmRPNmjXTfClGhQoVTHp6XrlyJQYOHIgbN26gcuXKouNkCwv5Ezp16gR/f3/cu3cv3en4+vXraN68Ob755hscP36cX3JOREJJkoT79+9rylmpVCIhIQHffPONppzd3NyQL18+0VG1KjExEWXLlkX9+vWxY8cO0XGyhYX8Hzdv3kTVqlWxevVq9OnT55PvCQwMRIsWLeDg4IBjx46xjInI4MTGxuL06dOagg4JCUGOHDnQuHFjzc1hlStXNonpefXq1ejfvz+CgoJQpUoV0XGyjIX8Hx07dkRAQADu3bv3yf1nr127hhYtWsDJyQnHjh2DnZ2dgJRERJkTEhKiufasUCgQFxeHEiVKaKbn5s2bw9bWVnTMLElMTES5cuVQt25d/PPPP6LjZBkLOY2goCA4OztjzZo16NWr10evX716FS1atECZMmVw7NgxFChQQP8hiYiyKT4+HmfOnNE893znzh1YWVmhYcOGmpvDnJ2djWp6XrNmDfr06YOgoCBUrVpVdJwsYSGn8fPPP+PatWu4e/fuR9PxlStX0LJlS5QtWxa+vr4sYyIyGWFhYZovxDh58iTev3+P4sWLo02bNmjTpg1atmxp8GcDk5KSUK5cOdSqVQu7du0SHSdLWMj/LzAwEDVq1MDatWvRs2fPD14LCAhAy5YtUb58efj6+hrtaR0ioi9JSEjAuXPnNKe3g4ODYWFhgQYNGmhOb9eoUQMWFhaio35k7dq16N27NwIDA+Hs7Cw6TqaxkP9fhw4dEBQUhDt37nwwHV++fBmtWrVChQoV4Ovra3T/XkRE2fHo0SP4+vri6NGjOHHiBN6+fYuiRYtqpudWrVoZzCOfSUlJqFChApydnbFnzx7RcTKNhYyUG7Vq1qyJ9evXo0ePHpof9/f3R6tWrVCpUiX4+PgY1b8TEZG2JSYmws/PT3PndlBQECwsLFC3bl3N9FyrVi1YWloKy7h+/Xr07NkT165dQ/Xq1YXlyAoWMoAff/wRwcHBuH37NqysrAAAly5dQqtWrVC1alUcPXrU5J7dIyLKroiICM2p7ePHjyM6OhqFCxdGq1at0LZtW7Rq1Urv33iXnJyMChUqoGrVqti7d69e184usy/kq1evolatWtiwYQP++OMPAMDFixfRunVrVKtWDUeOHGEZExF9QXJyMi5evKi5c/vq1auQyWSoVauW5s7tevXq6WV63rBhA3r06IGrV6+iRo0aOl9PW8y+kNu3b487d+7g1q1bsLKygp+fH1q3bo3q1avj8OHDLGMioix4/vw5fH194ePjg2PHjiEyMhJ2dnZo1aqV5vpzsWLFdLJ2cnIyKlasiEqVKmH//v06WUMXzLqQAwICUKdOHWzcuBHdunXDhQsX0Lp1a9SsWROHDx9G3rx5RUckIjJ6KpUK/v7+mtPbAQEBkCQJNWrU0Fx7btCggeaSoTZs3LgR3bt3R0BAAGrVqqW14+qSWRfy999/j/v37yM4OBiXLl1CmzZtUKtWLRw+fNhsvi2FiEjfXr58iWPHjuHo0aPw9fXFq1evYGtri5YtW2qm56+//jpbayQnJ6NSpUooX748Dh48qKXkumW2hXz58mXUrVsXmzdvRqlSpdC2bVvUqVMHhw4dYhkTEemJSqXC1atXNXduX7p0CZIkoVq1aprpuWHDhp/9Gtz0bN68Gd26dcPly5dRu3ZtHaTXLrMt5O+++w6hoaFYvnw52rVrh3r16uHgwYPInTu36GhERGbr9evXOH78uObmsBcvXiBfvnxo3ry55uawUqVKZehYKpUKlStXRpkyZXDo0CEdJ88+syzkS5cuoX79+pg0aRLmz5+P+vXr48CBAyxjIiIDolarERgYqClnPz8/qFQqVKpUSVPOTZo0gbW1dbrH2Lp1K7p27YpLly6hbt26ekyfeWZRyGq1hINBEdjq/whPomIR9fgBYm/44sVlHzRq1BD79+9nGRMRGbioqCicOHFCc3PYs2fPkCdPHri5uWkK2tHR8YPPqFQqVK5SFYVqtEQJl854EhWLEna50aVuKbSrZg8LC8P5Ag2TL2S1WsLwHddwIOgZLGSAWgIktQoyC0vke30HFxcOQB6WMRGRUZEkCUFBQZpyPn/+PJKTk1G+fHlNOTdr1gw5c1rjx9n7ERSdAzIAEqDpgvbO9ljYqbrBlLLJF/L+wKcYtiMw3dcX/VodP1TP3t18REQkVnR0NE6ePKkp6CdPnsDGxgY1O/TBk1Kt0v2cIXWAyRfyr6v9cDk8EupPpLcAULFITkxxMYyN0YmIKPskScKDBw9w4cIFHI4vi0TbkpBZfLxDmIUMqONQEDv6NhCQ8mMZ7VDtPa2tZ0+iYj9ZxgCgBnA95AlqjUr/b09ERGS8vh6wDlafKGMg5bT1k6g4PSfKPqMt5BJ2ufEsOj7dCdm5TAkcuHJF77mIiEj3Jilf4/bLRKg/8ZqFDChhZ6P3TNlltIXcpW4pXAqL/ORragB93SqhpoFcPyAiIu3qa5H+fURqKaUjjI2F6ABZ1a6aPdo72wNI+dtQ2n+2d7ZHu2r2gpIREZGumWIHGO1NXcB/n0OOQwk7G4N8Bo2IiLTPWDrA5O+yJiIiMgYZ7VCjPWVNRERkSljIREREBoCFTEREZABYyERERAaAhUxERGQAWMhEREQGgIVMRERkAFjIREREBoCFTEREZABYyERERAaAhUxERGQAWMhEREQGgIVMRERkAFjIREREBoCFTEREZABYyERERAaAhUxERGQAWMhEREQGgIVMRERkAFjIREREBoCFTEREZABYyERERAaAhUxERGQAWMhEREQGgIVMRERkAFjIREREBoCFTEREZABYyERERAaAhUxERGQAWMhEREQGgIVMRERkAFjIREREBoCFTEREZACsMvImSZIAADExMToNQ0REZGpSuzO1S9OToUJ++/YtAKBkyZLZjEVERGSe3r59C1tb23Rfl0lfqmwAarUaERERyJcvH2QymVYDEhERmTJJkvD27VvY29vDwiL9K8UZKmQiIiLSLd7URUREZABYyERERAaAhUxERGQAWMhEREQGgIVMRERkAFjIREREBoCFTEREZAD+D927R+frkILsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(cubical_graph,\n",
    "           'cubical_graph')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f93feb7-ed36-4d67-98bd-8c487b98a038",
   "metadata": {},
   "source": [
    "## 正八面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a30ac780-509b-4dac-8516-a41083315733",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "octahedral_graph = nx.octahedral_graph() \n",
    "nx.is_planar(octahedral_graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "041bce62-5170-40e0-9d47-fc158284f9f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(octahedral_graph,\n",
    "           'octahedral_graph')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9e7f58b-0426-4465-aaaf-b83528a44d84",
   "metadata": {},
   "source": [
    "## 正十二面体图 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9fb29492-2add-4d81-b8c8-7d6cb770d8a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dodecahedral_graph = nx.dodecahedral_graph() \n",
    "nx.is_planar(dodecahedral_graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "110fbe99-ccf9-40be-8225-37949a2711d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(dodecahedral_graph,\n",
    "           'dodecahedral_graph')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6dfd0544-b7e2-4aec-afad-ee69fa28d84b",
   "metadata": {},
   "source": [
    "## 正二十面体图 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "88ae2266-387f-47c4-8764-1f3af0837a3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "icosahedral_graph = nx.icosahedral_graph() \n",
    "nx.is_planar(icosahedral_graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9a9ac041-f7a5-47a0-82c8-c61140b2fa90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(icosahedral_graph,\n",
    "           'icosahedral_graph')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
